EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
5
,
find the value of
(
x
2
+
1
x
2
)
(i)
24
(ii)
25
(iii)
23
(iv)
20
(v)
22
Question
2
2.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
-1
(ii)
1
(iii)
2
(iv)
5
(v)
3
Question
3
3.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
9
(ii)
7
(iii)
3
(iv)
5
(v)
6
Question
4
4.
If
(
x
−
1
x
)
=
5
,
find the value of
(
x
4
+
1
x
4
)
(i)
726
(ii)
727
(iii)
724
(iv)
728
(v)
730
Question
5
5.
If
(
x
2
+
1
x
2
)
=
14
,
find the value of
(
x
+
1
x
)
(i)
5
(ii)
2
(iii)
7
(iv)
3
(v)
4
Question
6
6.
If
(
x
4
+
1
x
4
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
3
(ii)
0
(iii)
1
(iv)
2
(v)
4
Question
7
7.
If
(
x
2
+
1
x
2
)
=
83
,
find the value of
(
x
−
1
x
)
(i)
11
(ii)
6
(iii)
8
(iv)
9
(v)
10
Question
8
8.
If
(
x
4
+
1
x
4
)
=
1442
,
find the value of
(
x
−
1
x
)
(i)
6
(ii)
8
(iii)
7
(iv)
4
(v)
5
Question
9
9.
If
(
x
−
1
x
)
=
7
,
find the value of
(
x
3
−
1
x
3
)
(i)
367
(ii)
365
(iii)
363
(iv)
364
(v)
361
Question
10
10.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
3
+
1
x
3
)
(i)
199
(ii)
198
(iii)
196
(iv)
197
(v)
201
Question
11
11.
If
(
5
x
+
1
2
x
)
=
9
,
find the value of
(
25
x
2
+
1
4
x
2
)
(i)
77
(ii)
74
(iii)
75
(iv)
79
(v)
76
Question
12
12.
If
(
4
x
−
1
3
x
)
=
6
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
116
3
(ii)
118
3
(iii)
192
5
(iv)
40
(v)
38
Question
13
13.
If
(
3
x
−
1
3
x
)
=
6
,
find the value of
(
27
x
3
−
1
27
x
3
)
(i)
234
(ii)
235
(iii)
237
(iv)
233
(v)
231
Question
14
14.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
2
+
b
2
)
(i)
20
(ii)
22
(iii)
18
(iv)
21
(v)
19
Question
15
15.
If
(
a
2
+
b
2
)
=
41
,
a
b
=
20
, find
(
a
+
b
)
(i)
9
(ii)
12
(iii)
8
(iv)
7
(v)
10
Question
16
16.
If
(
a
−
b
)
=
1
,
a
b
=
6
, find
(
a
2
−
b
2
)
(i)
4
(ii)
6
(iii)
2
(iv)
5
(v)
7
Question
17
17.
If
(
a
2
−
b
2
)
=
32
,
a
b
=
12
, find
(
a
−
b
)
(i)
5
(ii)
4
(iii)
2
(iv)
6
(v)
3
Question
18
18.
If
(
7
a
+
2
b
)
=
46
,
a
b
=
12
, find
(
49
a
2
+
4
b
2
)
(i)
1783
(ii)
1777
(iii)
1779
(iv)
1781
(v)
1780
Question
19
19.
If
(
16
a
2
+
36
b
2
)
=
724
,
a
b
=
15
, find
(
4
a
+
6
b
)
(i)
39
(ii)
35
(iii)
37
(iv)
40
(v)
38
Question
20
20.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
3
+
b
3
)
(i)
244
(ii)
243
(iii)
240
(iv)
246
(v)
242
Question
21
21.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
3
−
b
3
)
(i)
119
(ii)
116
(iii)
117
(iv)
114
(v)
118
Question
22
22.
If
(
2
a
+
3
b
)
=
18
,
a
b
=
12
, find
(
8
a
3
+
27
b
3
)
(i)
1942
(ii)
1945
(iii)
1946
(iv)
1943
(v)
1944
Question
23
23.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
340
(ii)
336
(iii)
335
(iv)
337
(v)
338
Question
24
24.
If
(
a
4
+
b
4
)
=
881
,
a
b
=
20
, find
(
a
+
b
)
(i)
8
(ii)
7
(iii)
11
(iv)
9
(v)
10
Question
25
25.
If
(
a
−
b
)
=
3
,
a
b
=
18
, find
(
a
4
−
b
4
)
(i)
1215
(ii)
1212
(iii)
1217
(iv)
1214
(v)
1216
Question
26
26.
If
(
2
a
+
2
b
)
=
18
,
a
b
=
20
, find
(
16
a
4
+
16
b
4
)
(i)
14093
(ii)
14096
(iii)
14095
(iv)
14098
(v)
14097
Question
27
27.
If
(
256
a
4
+
16
b
4
)
=
1049872
,
a
b
=
24
, find
(
4
a
+
2
b
)
(i)
38
(ii)
40
(iii)
39
(iv)
36
(v)
37
Question
28
28.
If
(
a
+
b
+
c
)
=
15
,
(
a
2
+
b
2
+
c
2
)
=
77
, find
(
a
b
+
a
c
+
b
c
)
(i)
73
(ii)
74
(iii)
75
(iv)
71
(v)
76
Question
29
29.
If
(
a
+
b
+
c
)
=
14
,
(
a
b
+
a
c
+
b
c
)
=
55
, find
(
a
2
+
b
2
+
c
2
)
(i)
89
(ii)
87
(iii)
85
(iv)
86
(v)
83
Assignment Key
1) (iii)
2) (iii)
3) (v)
4) (ii)
5) (v)
6) (iv)
7) (iv)
8) (i)
9) (iv)
10) (ii)
11) (v)
12) (i)
13) (i)
14) (i)
15) (i)
16) (iv)
17) (ii)
18) (v)
19) (v)
20) (ii)
21) (iii)
22) (v)
23) (iv)
24) (iv)
25) (i)
26) (ii)
27) (i)
28) (ii)
29) (iv)
